Homework Help is Here – Start Your Trial Now!
Math
Statistics
samples exposed Dacter ghts bacteria, viruses, and tumors, was measured. Mean production went fr er tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a s per implies that the use of the t-distribution is appropriate. ,et. al., "Antigens in tea-beverage prime human Vy2Vo2 T cells in vitro and kine responses," Proceedings of the National Academy of Sciences, May 13, 20

samples exposed Dacter ghts bacteria, viruses, and tumors, was measured. Mean production went fr er tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a s per implies that the use of the t-distribution is appropriate. ,et. al., "Antigens in tea-beverage prime human Vy2Vo2 T cells in vitro and kine responses," Proceedings of the National Academy of Sciences, May 13, 20

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Drink Tea for a Stronger Immune System** We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results, blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to *E. coli* bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. *Adapted from Kamath, A., et al., "Antigens in tea-beverage prime human Vγ2Vδ2 T cells in vitro and in vivo for memory and non-memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014.* --- **Your answer is correct.** (a) Which method is most appropriate for this analysis? - Paired data difference in means (selected)
Transcribed Image Text:**Drink Tea for a Stronger Immune System** We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results, blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to *E. coli* bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. *Adapted from Kamath, A., et al., "Antigens in tea-beverage prime human Vγ2Vδ2 T cells in vitro and in vivo for memory and non-memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014.* --- **Your answer is correct.** (a) Which method is most appropriate for this analysis? - Paired data difference in means (selected)
### Confidence Interval Calculation **Question:** (b) Find a 90% confidence interval for the mean increase in the production of interferon gamma after drinking tea for one week. **Instructions:** - Round your answers to one decimal place. **Answer Format:** The 90% confidence interval is [ _______ ] to [ _______ ]. **Additional Information:** - Your previous answer was marked as incorrect. - This is your first attempt out of four allowed. **Actions:** - You can save your progress for later. - Click "Submit Answer" to enter your solution.
Transcribed Image Text:### Confidence Interval Calculation **Question:** (b) Find a 90% confidence interval for the mean increase in the production of interferon gamma after drinking tea for one week. **Instructions:** - Round your answers to one decimal place. **Answer Format:** The 90% confidence interval is [ _______ ] to [ _______ ]. **Additional Information:** - Your previous answer was marked as incorrect. - This is your first attempt out of four allowed. **Actions:** - You can save your progress for later. - Click "Submit Answer" to enter your solution.
Expert Solution
Step 1

In the given scenario, the blood samples of 5 participants are taken before and after  one week of drinking about five cups of tea a day.

Here, the same participants are taken before and after  one week of drinking about five cups of tea a day.

The most appropriate method used for the analysis is paired data in difference of means.

Let n denote the number of subjects.

Let xd¯ denote the mean difference of the subjects and sd denote the standard deviation in the differences.

That is, n = 5

xd¯ = 293 & sd = 242

The objective is to compute the 90% confidence interval for the mean .

The confidence level is,

C = 90%= 90/100= 0.90

The level of significance is,

α= 1-C=1-0.90=0.10

The degrees of freedom is,

df = n-1= 5-1=4

from t table at 0.10 level of significance with 4 degrees of freedom the two- tailed critical value is,

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS